Mathematical Modeling of Multiphase Flow in Fracture Media

The multiphase flow in fractural media with different fractal structures is considered. The homogenized model of processes depends on the structure pattern. One of them leads to the known double porosity model, the other may be described by tensor total and pseudo phase permeability. The influence of the capillary effects is taken into consideration. The algorithms of the tensor permeability calculation are developed by using the self-similar properties of the fractal structure. We have used the support operator method for difference scheme construction. This method allows approximating both the dissipative energy and phase flux. The results of modeling some problems are represented.